Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4132/561,7799/773
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 4132,7799
Greatest Common Factor of Numerators i.e. GCF of 4132,7799 is 1 .
LCM of Denominators means LCM of 561,773 as per the given fractions.
LCM of 561,773 is 433653 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4132,7799
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4132
List of positive integer factors of 4132 that divides 4132 without a remainder.
1,2,4,1033,2066,4132
Factors of 7799
List of positive integer factors of 7799 that divides 7799 without a remainder.
1,11,709,7799
Greatest Common Factor
We found the factors 4132,7799 . The biggest common factor number is the GCF number.
So the greatest common factor 4132,7799 is 1.
Lets's calculate LCM of 561,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 433653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433653
Therefore, the GCF of Fractions 4132/561,7799/773 is 1/433653
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 561,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,773) x common factors =1 x 1 = 1
LCM(561,773) = ( 561 × 773 ) / 1
LCM(561,773) = 433653 / 1
LCM(561,773) = 433653
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 4132/561, 7799/773?
Answer: GCF of Numerators as per given numbers 4132/561, 7799/773 is
GCF of Numerators i.e. for 4132,7799 is 1
LCM of denominators i.e. for 561,773 is 433653.
Thus, GCF of Fractions is 1/433653.Finally, GCF of Fractions for 4132/561, 7799/773 is 1/433653.